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43424997168 = 24372131140939
BaseRepresentation
bin101000011100010101…
…001101111100110000
311011002100210102100110
4220130111031330300
51202413244402133
631541004221320
73065053246200
oct503425157460
9134070712313
1043424997168
1117464308113
1284bab3a840
13413081b1c7
14215d404400
1511e252ac63
hexa1c54df30

43424997168 has 120 divisors (see below), whose sum is σ = 131493637440. Its totient is φ = 12312343680.

The previous prime is 43424997163. The next prime is 43424997179. The reversal of 43424997168 is 86179942434.

It is not an unprimeable number, because it can be changed into a prime (43424997163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237643 + ... + 378581.

It is an arithmetic number, because the mean of its divisors is an integer number (1095780312).

Almost surely, 243424997168 is an apocalyptic number.

43424997168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43424997168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65746818720).

43424997168 is an abundant number, since it is smaller than the sum of its proper divisors (88068640272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43424997168 is a wasteful number, since it uses less digits than its factorization.

43424997168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141095 (or 141082 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 43424997168 in words is "forty-three billion, four hundred twenty-four million, nine hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 392 393 524 588 784 786 917 1048 1176 1572 1834 2096 2352 2751 3144 3668 5502 6288 6419 7336 11004 12838 14672 19257 22008 25676 38514 44016 51352 77028 102704 140939 154056 281878 308112 422817 563756 845634 986573 1127512 1691268 1973146 2255024 2959719 3382536 3946292 5919438 6765072 6906011 7892584 11838876 13812022 15785168 18463009 20718033 23677752 27624044 36926018 41436066 47355504 55248088 55389027 73852036 82872132 110496176 110778054 129241063 147704072 165744264 221556108 258482126 295408144 331488528 387723189 443112216 516964252 775446378 886224432 904687441 1033928504 1550892756 1809374882 2067857008 2714062323 3101785512 3618749764 5428124646 6203571024 7237499528 10856249292 14474999056 21712498584 43424997168